37830730240 has 80 divisors (see below), whose sum is σ = 90897396480. Its totient is φ = 15100211200.

The previous prime is 37830730163. The next prime is 37830730243. The reversal of 37830730240 is 4203703873.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 37830730240.

It is not an unprimeable number, because it can be changed into a prime (37830730243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1210815 + ... + 1241665.

It is an arithmetic number, because the mean of its divisors is an integer number (1136217456).

Almost surely, 2^37830730240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37830730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45448698240).

37830730240 is an abundant number, since it is smaller than the sum of its proper divisors (53066666240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37830730240 is an equidigital number, since it uses as much as digits as its factorization.

37830730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31353 (or 31337 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The spelling of 37830730240 in words is "thirty-seven billion, eight hundred thirty million, seven hundred thirty thousand, two hundred forty".